Bounds of Hankel Determinant for a Class of Univalent Functions

Abstract

The authors study the coefficient condition for the class ℌ𝛼 defined as the family of analytic functions 𝑓,𝑓(0)=0 and 𝑓′(0)=1, which satisfy ℜ[(1−𝛼)𝑓′(𝑧)+𝛼(1+(𝑧𝑓′′(𝑧))/(𝑓′(𝑧)))]>𝛼,𝑧∈𝐸, where 𝛼 is a real number.